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Statement - 1: For a mass kept at the centre of a cube of side ‘ ’, the flux of gravitational field passing through its sides is .Statement - 2: If the direction of a field due to a point source is radial and its dependence on the distance ‘ ’ for the source is given as , its flux through a closed surface depends only on the strength of the source enclosed and not on the size or shape of the surface.

  1. A
    Statement - 1 is false, Statement - 2 is true
  2. B
    Statement - 1 is true, Statement - 2 is true; Statement - 2 is correct explanation for Statement - 1
  3. C
    Statement - 1 is true, Statement - 2 is true; Statement - 2 is not a correct explanation for Statement - 1
  4. D
    Statement - 1 is true, Statement - 2 is false

Solution & Step-by-step Explanation

Statement 2 is essentially Gauss's Law for inverse square fields.Statement 1 is the application of this law to gravitation. Gravitational field . Flux (analogous to ).Both statements are true and Statement 2 explains Statement 1.

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Statement - 1: For a mass kept at the centre of a cube of side ‘ ’, the flux of gravitational field passing through its sides is .Statement - 2: If the direction of a field due to a point source is radial and its dependence on the distance ‘ ’ for the source is given as , its flux through a closed surface depends only on the strength of the source enclosed and not on the size or shape of the surface.
A
Statement - 1 is false, Statement - 2 is true
B
Statement - 1 is true, Statement - 2 is true; Statement - 2 is correct explanation for Statement - 1
C
Statement - 1 is true, Statement - 2 is true; Statement - 2 is not a correct explanation for Statement - 1
D
Statement - 1 is true, Statement - 2 is false

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